Question

The converse of the conditional statement "If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other" is :If rhombus is a quadrilateral then its perpendicular bisectors are diagonals to each other.If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each otherNone of the aboveIf the diagonals of a quadrilateral are perpendicular bisectors of each other then it is a rhombus.

Solution

The correct option is D If the diagonals of a quadrilateral are perpendicular bisectors of each other then it is a rhombus.If the antecedent and consequent in a given conditional statement are interchanged, the resulting statement is called the converse of the given statement.  The converse of the conditional statement "If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other" is, "If the diagonals of a quadrilateral are perpendicular bisectors of each other then it is a rhombus."

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